In this paper we develop a stability theory for spatially periodic patterns on R. Our approach is valid for a class of singularly perturbed reaction-diffusion equations that can be represented by the generalized Gierer-Meinhardt equations as 'normal form'. These equations exhibit a large variety of spatially periodic patterns. We construct an Evans function

CWI
Modelling, Analysis and Simulation [MAS]
Computational Dynamics

van der Ploeg, H., & Doelman, A. (2005). Stability of spatially periodic pulse patterns in a class of singularly perturbed reaction-diffusion equations. Modelling, Analysis and Simulation [MAS]. CWI.